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Finding the Fourth Proportional to 4,841.67, 6,686.20 and 4,172.25

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Solution

The fourth proportional to 4,841.67, 6,686.20 and 4,172.25 is: 5,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.67 : 6,686.20 = 4,172.25 : x
  2. Step 2: Convert to fraction form
    4,841.67/6,686.20 = 4,172.25/x
  3. Step 3: Cross multiply
    4,841.67x = 6,686.20 × 4,172.25
  4. Step 4: Simplify right side
    4,841.67x = 27,896,497.95
  5. Step 5: Solve for x
    x = 27,896,497.95/4,841.67
  6. Step 6: Final answer
    x = 5,761.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.